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3 years ago

Five workers dig a trench 5 yards long in 5 hours. How many workers are needed to dig a 100 yards long in 100 hours?

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

7 0

I think it would require 100 workers since 1 worker digs up 1 yard.

Hope this helps.

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Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th

Verizon [17]

Answer:

$(21.9-19.8) -1.966\sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 1.422$

$(21.9-19.8) -1.966 \sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 2.778$

And we are 95% confident that the true difference means are between $1.422 \leq \mu_1 -\mu_2 \leq 2.778$

Step-by-step explanation:

We know the following info:

$\bar X_1 = 21.9$ sample mean for group 1

$\bar X_2 = 19.8$ sample mean for group 2

$s_1 = 3.4$ sample standard deviation for group 1

$s_2 = 3.5$ sample standard deviation for group 2

$n_1 = 200$ sample size group 1

$n_2 = 200$ sample size group 2

We want to find a confidence interval for the difference of means and the correct formula to do this is:

$(\bar X_1 -\bar X_2) \pm t_{\alpha/2} \sqrt{\frac{s^2_1}{n_1} +\frac{s^2_2}{n_2}}$

Now we just need to find the critical value. The confidence level is 0.95 then the significance is $1-0.95 =0.05$ and $\alpha/2 =0.025$ . The degrees of freedom are given by:

$df= n_1 +n_2 -2= 200+200-2= 398$

The critical value for this case would be : $t_{\alpha/2}=1.966$

And replacing into the confidence interval formula we got:

$(21.9-19.8) -1.966\sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 1.422$

$(21.9-19.8) -1.966 \sqrt{\frac{3.4^2}{200} +\frac{3.5^2}{200}}= 2.778$

And we are 95% confident that the true difference means are between $1.422 \leq \mu_1 -\mu_2 \leq 2.778$

5 0

3 years ago

write an equation that could be used to find two consecutive even integers whose product is 24. Let x represent the first intege

mariarad [96]

(X)+(X+1)=24

"consecutive" means right after the other, so, if the first one is (X), the second integer must be (X+1). The answer 24 is given so you just have to solve the equation.

2X+1=24
2X=23
X=11.5

8 0

3 years ago

What is the value of this expression (4.08)(0.7)?

elena-s [515]

(4.08)(0.7) = 2.856

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7 0

3 years ago

Read 2 more answers

PLEASE HELP ME Factor each expression, 2n^(2)+ 3n -2

kotegsom [21]

I would suggest factoring using the grouping method. The answer I got was (2n-1)(n+2)

5 0

4 years ago

Question 9 of 25 2 Points What is g(x)?

patriot [66]

Composition means that you can plug g(x) into f (x). This is written as "( f o g)(x)", which is pronounced as "f-compose-g of x". And "( f o g)(x)" means " f (g(x))". That is, you plug something in for x, then you plug that value into g, simplify, and then plug the result into f. hope this helps.

5 0

3 years ago